A Harlem girl with cerebral palsy has won the right to transfer to a private academy for the disabled – at public expense – from the city special-ed school where her mother says she has languished for a year.

Eubie Hart Hodges, 5, who communicates with her eyes and smile, was trapped in a school where her intelligence was going to waste, educational experts said.

School officials refused to pay for Eubie – whose story was told in The Post on Easter Sunday – to attend a highly successful private school for disabled kids.

“Although extremely physically challenged, Eubie functions and has the potential for intellectual performance at a much higher level than most of the other children with whom she has been placed,” Berry concluded, calling the city classroom “unsuitable to meet her needs.”

According to federal law, the city must pay for an outside placement if public schools do not provide an appropriate educational setting for a disabled child.

The ruling paves the way for Eubie to start next month at the Westchester School for Special Children in Yonkers, which works with bright but non-verbal kids.

Eubie’s mother, Verna Hart, was elated.

“It took me a full year to prove that my daughter is a very smart little girl who happens to be disabled,” said Hart, 38, an artist.

Eubie was born with cerebral palsy after her twin died in the womb. Though she has the physical ability of an infant, she is alert and cheerful.

“Every day I put her on the bus, she never cries. She’s very happy to be independent and on her way to school,” said her mom, who also has 4-year-old twins.

Hart had argued that Eubie wouldn’t progress at P811, an Upper West Side special-ed school where she’s been since September.

Three of five kids in her class are profoundly retarded. Only one other, who is bilingual, shows aptitude for learning.

The Board of Ed has 30 days to appeal the decision. A spokeswoman said, “It would be inappropriate to comment” on the case.